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Algebra 2 Quality Core

Algebra 2 Quality Core

Question 1 of 24

1

Iman starts with $1 on Day 1 and then doubles her money everyday thereafter. On which day will she first have more than $10,000?

Select one of the following:

Day 15

Day 14

Day 10

Day 6

Question 2 of 24

1

Kickball games last a maximum of 50 minutes and ties are allowed. However, there is a "mercy" rule. A game will end if at least 40 minutes have passed and one team is ahead by at least 10 points. If "t" is time, in minutes and "d" is the difference of points what compound describes the "mercy" rule?

Select one of the following:

t ≥ 10 and d ≥ 10

40 ≤ t < 60 and d ≥ 10

t ≤ 40 or d ≥ 10

40 ≥ t < 60 or d ≥ 10

Question 3 of 24

1

Find the solution set of | X - 2 | <6

Select one of the following:

{ x | -8 < x < 4 }

{ x | -4 < x < 8 }

{ x | x < 4 }

{ x | x < 8 }

Question 4 of 24

1

What is the solution set to the inequality | 3x - 2 | < 7?

Select one of the following:

{ x | -5/3 < x < 3 }

{ x | -3 < x < 5/3 }

{ x | x > 3 or x < -5/3 }

{ x | x > 5/3 or x < -3 }

Question 5 of 24

1

What is the complex conjagate of 7 + √-8

Select one of the following:

7+ 4i√2

7- 4i √2

7+ 2i√2

7- 2i√2

Question 6 of 24

1

What is the complex conjugate of .5 - 2i ?

Select one of the following:

2- 2i

2- .5i

.5i - 2

.5 + 2i

Question 7 of 24

1

Which equation has the same range as y = (x+3)² ?

Select one of the following:

y= (x + 3)²

y= x² + 9

y= 2 (x - 3)² + 1

y= (x - 5)²

Question 8 of 24

1

Evaluate this function for x = -3 f(x) = 4x³ -5x² + 2x -4

Select one of the following:

-163

-151

-73

53

Question 9 of 24

1

Find the 100th term of this arithmetic sequence: 5, 8, 11, 14, 17...

Select one of the following:

302

305

308

311

Question 10 of 24

1

Which system of inequalities describes this graph?

Select one of the following:

Question 11 of 24

1

On the first of every month, a new library receives a new shipment of 575 book titles. If the library starts the beginning of the first year with 3,000 book titles and does receive a shipment that month, how many book titles will it have at the end of 3 years?

Select one of the following:

42,900

23,700

5,363

4,150

Question 12 of 24

1

Simplify this expression: 3(x² + 2) - 5(2x² + 3x - 4) + 2(-x² - 4)

Select one of the following:

-5x² - 15x + 18

5x² - 15x - 22

-9x² - 15x + 18

-9x² + 15x - 22

Question 13 of 24

1

Which is an equivalent form of this expression?

Select one of the following:

3x² - 6x - 9

3x² - 7x - 11

3x² - 9x - 16

3x² - 19x - 4

Question 14 of 24

1

Richar has 5 shirts, 6 pairs of jeans, and 3 vests. How many different outfits, each composed of a shirt, a pair of jeans, and a vest, can he make?

Select one of the following:

6

14

33

90

Question 15 of 24

1

A high school's enrollment is 27% juniors and 31% seniors. What is the probability that a student chosen at random from this high school will be a junior or a senior?

Select one of the following:

\[\frac{1}{25}\]

\[\frac{2}{25}\]

\[\frac{29}{50}\]

\[\frac{87}{100}\]

Question 16 of 24

1

Guests at a wedding reception must chose 1 food item from each of these 3 categories.

Main Dish Entreé: steak, fish, chicken

Vegetable: carrots, green beans, potatoes

Salad: garden, Caesar

How many different dinner combinations are possible?

Select one of the following:

8

18

56

336

Question 17 of 24

1

Which inequality represents this statement? On the number line, x is less that 3 units away from 5.

Select one of the following:

x - 5 <3

x - 3 < 5

| x - 5 | < 3

| x - 3 | < 5

Question 18 of 24

1

If c - d = 7 and c = 3 -4i , what is d?

Select one of the following:

-4 - 4i

-4 + 4i

4 - 4i

4 + 4i

Question 19 of 24

1

Simplify (2√5)² - (3 - √-6)(3 + √-6).

Select one of the following:

1

5

11

17

Question 20 of 24

1

What is the completely simplified expression of \[\frac{x³ - 4x}{x⁵ - 8x²}\]

Select one of the following:

\[\frac{x³ - 4x}{x⁵ - 8x²}\]

\[\frac{1}{x(x+2)}\]

\[\frac{x² - 4}{x(x³ - 8)}\]

\[\frac{x + 2}{x(x² + 2x + 4)}\]

Question 21 of 24

1

What is the complete factorization of 16r³ⁿ - 54q⁶ᵃ , where a, n, r, and q are integers?